" for "^(-1)(sqrt((1-cos x)/(1+cos x))),0

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

Write the following functions in the simplest form : tan^(-1) sqrt((1-cos x)/(1+cos x)), 0 lt x lt pi

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))},0

Write tan^(-1) (sqrt(1-cos x)/(1+cos x)), 0 lt x lt pi in the simplest form.

Differentiate the following functions with respect to x.x^((2)/(3))+7e-(5)/(x)+7tan x (ii) x^(2)*ln x*e^(x)ln tan((pi)/(4)+(x)/(2))( iv )(sin x-x cos x)/(x sin x+cos x)tan(tan^(-1)sqrt((1-cos x)/(1+cos x))),0

(v) tan^(-1)sqrt((1+cos x)/(1-cos x))

cos^(-1)(sqrt((1+cos x)/2))

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))}0

(dy)/(dx)for y=tan^(-1){sqrt((1+cos x)/(1-cos x))}, where 0

arctan^(-1)((cos x)/(1-sin x))-cos^(-1)(sqrt((1+cos x)/(1-cos x)))=(pi)/(4),x in(0,(pi)/(2))